Linear Weyl Gravity in de Sitter Universe

Abstract

In this paper we obtain the linear Weyl gravity in de Sitter background. Its linear form in five-dimensional ambient space notation has also been obtained. From the group theoretical point of view, we show that this conformal invariant fourth order theory in its linear form does not transform as an unitary irreducible representation of the de Sitter group.

13 pages, some details added, typos corrected, reference added

References in corpus (5)

• "Massless" vector field in de Sitter Universe
• Higher-order gravity and the cosmological background of gravitational waves
• Light bending in the galactic halo by Rindler-Ishak method
• Conformal linear gravity in de Sitter space
• Auxiliary "massless" spin-2 field in de Sitter universe

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• Auxiliary "massless" spin-2 field in de Sitter universe
• Quantum Linear Gravity in de Sitter Universe On Gupta-Bleuler vacuum state
• de Sitter field equations from quadratic curvature gravity: A group theoretical approach
• Conceptual and technical challenges of quantum gravity
• Non-singular Bouncing Cosmology in $f(R,G,T)$--Quintom model